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math.AP2026
Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials
Chenguang Liu, Liping Xu, An Zhang
We study the Kac particle system associated with the spatially homogeneous Boltzmann equation with non-cutoff collision kernels in the moderately soft potential regime . We…
math.CA2026
Strichartz estimates for orthonormal systems on compact manifolds: the non-sharp region
Hongzhou Ji, Liping Xu, An Zhang
We establish new Strichartz estimates for orthonormal systems on compact Riemannian manifolds in the non-sharp admissible region of exponents, covering wave, Klein-Gordon, and frac…
math.PR2026
Central limit theorem for a partially observed interacting system of Hawkes processes I: subcritical case
Chenguang Liu, Liping Xu, An Zhang
We consider a system of Hawkes processes and observe the actions of a subpopulation of size up to time , where is large. The influence relationships between ea…